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Minimum Weighted Minkowski Distance Power Models for Intuitionistic Fuzzy Madm with Incomplete Weight Information

Author

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  • Deng-Feng Li

    (School of Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou, Fujian 350108, China)

  • Shu-Ping Wan

    (College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, Jianxi 330013, China)

Abstract

Owing to more vague concepts frequently represented in decision data, intuitionistic fuzzy sets (IFSs) are more flexibly used to model real-life decision situations. At the same time, with ever increasing complexity in many decision situations in reality, there are often some challenges for a decision maker to provide complete attribute preference information, i.e., the weights may be completely unknown or partially known. The aim of this paper is to develop an effective method for solving intuitionistic fuzzy multi-attribute decision making (MADM) problems with incomplete weight information. In this method, ratings of alternatives on attributes are expressed with IFSs. The multi-objective programming models are established to calculate unknown weights by using weight information partially known a priori. The derived minimum weighted Minkowski distance power models are used to determine the unknown weights and to generate the ranking order of the alternatives simultaneously. The proposed models are easily extended to intuitionistic fuzzy MADM problems with different weight information structures. An example of the supplier selection problem is examined to demonstrate applicability and flexibility of the proposed models and method.

Suggested Citation

  • Deng-Feng Li & Shu-Ping Wan, 2017. "Minimum Weighted Minkowski Distance Power Models for Intuitionistic Fuzzy Madm with Incomplete Weight Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 1387-1408, September.
    • Handle: RePEc:wsi:ijitdm:v:16:y:2017:i:05:n:s0219622014500321
    DOI: 10.1142/S0219622014500321
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    References listed on IDEAS

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    1. Pang, Jifang & Liang, Jiye, 2012. "Evaluation of the results of multi-attribute group decision-making with linguistic information," Omega, Elsevier, vol. 40(3), pages 294-301.
    2. Ting-Yu Chen, 2012. "Approaches To Leniency Reduction In Multi-Criteria Decision Making With Interval-Valued Fuzzy Sets And An Experimental Analysis," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(03), pages 579-608.
    3. Deng-Feng Li, 2009. "Relative Ratio Method For Multiple Attribute Decision Making Problems," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 289-311.
    4. Ting-Yu Chen, 2011. "Signed Distanced-Based Topsis Method For Multiple Criteria Decision Analysis Based On Generalized Interval-Valued Fuzzy Numbers," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(06), pages 1131-1159.
    5. J. M. Tapia García & M. J. Del Moral & M. A. Martínez & E. Herrera-Viedma, 2012. "A Consensus Model For Group Decision-Making Problems With Interval Fuzzy Preference Relations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 709-725.
    6. Ting-Yu Chen, 2012. "Nonlinear Assignment-Based Methods For Interval-Valued Intuitionistic Fuzzy Multi-Criteria Decision Analysis With Incomplete Preference Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 821-855.
    7. Ye, Jun, 2010. "Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment," European Journal of Operational Research, Elsevier, vol. 205(1), pages 202-204, August.
    8. Ahyoung Choi & Woontack Woo, 2011. "Multiple-Criteria Decision-Making Based On Probabilistic Estimation With Contextual Information For Physiological Signal Monitoring," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 109-120.
    9. Podinovski, Vladislav V., 2010. "Set choice problems with incomplete information about the preferences of the decision maker," European Journal of Operational Research, Elsevier, vol. 207(1), pages 371-379, November.
    10. Wan, Shu-Ping & Li, Deng-Feng, 2013. "Fuzzy LINMAP approach to heterogeneous MADM considering comparisons of alternatives with hesitation degrees," Omega, Elsevier, vol. 41(6), pages 925-940.
    11. Zeshui Xu & Hui Hu, 2010. "Projection Models For Intuitionistic Fuzzy Multiple Attribute Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 267-280.
    12. Hua Zhao & Zeshui Xu & Zhong Wang, 2013. "Intuitionistic Fuzzy Clustering Algorithm Based On Boole Matrix And Association Measure," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 95-118.
    13. Cuiping Wei & Xijin Tang, 2011. "An Intuitionistic Fuzzy Group Decision-Making Approach Based On Entropy And Similarity Measures," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(06), pages 1111-1130.
    14. José M. Merigó & Montserrat Casanovas, 2011. "The Uncertain Generalized Owa Operator And Its Application To Financial Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 211-230.
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    Cited by:

    1. P.Senthil Kumar, 2018. "PSK Method for Solving Intuitionistic Fuzzy Solid Transportation Problems," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(4), pages 62-99, October.

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